9ed19/14
Jump to navigation
Jump to search
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 8ed19/14 | 9ed19/14 | 10ed19/14 → |
9 equal divisions of 19/14 (abbreviated 9ed19/14) is a nonoctave tuning system that divides the interval of 19/14 into 9 equal parts of about 58.7 ¢ each. Each step represents a frequency ratio of (19/14)1/9, or the 9th root of 19/14.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -25.1 | -22.2 | +8.5 | -25.4 | +11.4 | -20.5 | -16.7 | +14.4 | +8.2 | +19.4 | -13.7 |
| Relative (%) | -42.8 | -37.8 | +14.4 | -43.2 | +19.4 | -34.9 | -28.4 | +24.5 | +14.0 | +33.1 | -23.3 | |
| Steps (reduced) |
20 (2) |
32 (5) |
41 (5) |
47 (2) |
53 (8) |
57 (3) |
61 (7) |
65 (2) |
68 (5) |
71 (8) |
73 (1) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +23.9 | +13.1 | +11.2 | +16.9 | -29.3 | -10.8 | +13.1 | -16.9 | +16.1 | -5.7 | -23.9 |
| Relative (%) | +40.8 | +22.3 | +19.0 | +28.8 | -49.9 | -18.3 | +22.3 | -28.8 | +27.4 | -9.7 | -40.7 | |
| Steps (reduced) |
76 (4) |
78 (6) |
80 (8) |
82 (1) |
83 (2) |
85 (4) |
87 (6) |
88 (7) |
90 (0) |
91 (1) |
92 (2) | |
Intervals
| Steps | Cents | Approximate ratios |
|---|---|---|
| 0 | 0 | 1/1 |
| 1 | 58.7 | |
| 2 | 117.5 | 15/14, 21/20, 22/21 |
| 3 | 176.2 | 10/9 |
| 4 | 235 | 9/8, 17/15, 22/19 |
| 5 | 293.7 | 6/5, 7/6, 13/11 |
| 6 | 352.5 | 17/14, 21/17 |
| 7 | 411.2 | 5/4, 9/7 |
| 8 | 469.9 | 4/3, 22/17 |
| 9 | 528.7 |
Instruments
(Coming soon?)
Music
- 9ed(19/14) improv (2025)